Iterative properties of birational rowmotion

  title={Iterative properties of birational rowmotion},
  author={Darij Grinberg and Tom Roby},
We study a birational map associated to any finite poset P . This map is a far-reaching generalization (found by Einstein and Propp) of classical rowmotion, which is a certain permutation of the set of order ideals of P . Classical rowmotion has been studied by various authors (Fon-der-Flaass, Cameron, Brouwer, Schrijver, Striker, Williams and many more) under different guises (Striker-Williams promotion and Panyushev complementation are two examples of maps equivalent to it). In contrast… CONTINUE READING


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